5. Prove that sin² 0 + cos² 0 = 1 for is an identity. 6. Simplify logi¹² — 3log j¹¹ – 5log k into one logarithm. 7. Solve 3x+3 = 45x for x. Round your answer to two decimal places.

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A: For a complex number The modulus is and the aurgument is .

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A: Sketch (by hand) the following function on the interval t ∈ [-2π, 4π] and find its Laplace trans-…

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A: We have to make use of the floor function for solving this problem.

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Q: Consider the following linear programming problem: Max 7X+6Y s.t. (X,Y)= 15X + 5Y ≤ 75 12X + 6Y ≤ 72…

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A: For function y=f(x), they have been defined f'(x) of f at x, and it is called derivative in…

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A: Given linear map is (A) In other words ,Now from Rank-Nullity theorem ,

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A: A line containing two points on the graph of a function is called a........

Q: Tous Homework 1 Special Topics In Math 1. a) Define d (x,y) = 1x²-y²1, X,Y ER. Is da metric on R?…

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Q: bounded above (choose all that apply)? Vn e Z+, 3KER, xn №r < K

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A: Th

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A: We have  the tip of c and the tail of d are both the midpoint of QR. Express c and d in terms of a…

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A: Answer :A pendulum is given , Now we have  to find point at which potential energy is minimum.using…

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Q: Consider the three sequences given below. A: (7, 5, 4, 3, 2, 1, 1) B: (6, 4, 4, 4, 3, 2, 2, 1) C:…

A: Noted that a graph G is said to be simple graph if it has neither parallel edges nor self loops.Now…

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Q: Graph ? = sec(?) + 1 on the grid below for −2? ≤ ? ≤ 2? . Use a scale involving fractions of π on…

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Q: Find the final amount of money in an account if $7, 600 is deposited at 6.5% interest compounded…

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Q: Solve the initial value problem: 2xdx + x² tan ydy = 0, y(0)=2.

A: We solve this by separation of variable.

Q: 6. Verify that the composition of two Möbius transformations is another Möbius transformation.…

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Q: B C B H A Which of the following subgraphs S, T, U and V are vertex-induced subgraphs of R? Graph R…

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Q: Let A Describe all solutions of Az = 0. x = x₂ [1 0 0 0 -2 -3 1 -1 4] 0 1 1 0 1 0 0 0 1 3 0 000 0…

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Q: Prove or disprove: If ab is congruent to 0 (mod n), then a is congruent to 0 (mod n) or b is…

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Q: Problem #5: Compute the associated binormal vector B(1) for the same space curve c(t) = (t, 4 cos t,…

A: In this question, we will find the binormal vector.

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A: Given that, a guidance counselor is planning schedule for  students.Sixteen students say they want…

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A: The given function  is defined as .We know that .We know that  is a periodic function with period ,…

Q: 18.- Define the symmetric matrix corresponding to the following quadratic form: F(x, y, z)= x² + z²…

A: Given quadratic form isWe have to define the symmetric matrix corresponding to the above quadratic…

Q: Recall the function introduced in class: Use induction to prove that for all positive integers n,…

A: We use a famous result from number theory known as Bertrands postulate

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A: The given vectors .The aim is to find the norm of the vector .

Q: 9. (Harder) show that given any three distinct points 2₁, 22, 23 in the z-plane, and any three…

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Q: Suppose you want to have $500,000 for retirement in 30 years. Your account earns 10% interest. a)…

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Q: Bicios%20de%20evalluación%20de%20ca + s TUS, ..

A: For a complex number  the modulus is  and the argument is .